What is 7/2 >1-4 x/5 > 1/2 ?

The solution to 7/2 >1-4 x/5 > 1/2 is -25/8 <x< 5/8

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7/2 >1-4 x/5 > 1/2

\frac{7}{2} > 1 - 4 \frac{x}{5} > \frac{1}{2}

- \frac{25}{8} < x < \frac{5}{8}

Interval Notation

(- \frac{25}{8}, \frac{5}{8})

Decimal Notation

- 3.125 < x < 0.625

Solution steps

\frac{7}{2} > 1 - 4 \cdot \frac{x}{5} > \frac{1}{2}

a > u > b

then

a > u and u > b

\frac{7}{2} > 1 - 4 \cdot \frac{x}{5} and 1 - 4 \cdot \frac{x}{5} > \frac{1}{2}

\frac{7}{2} > 1 - 4 \cdot \frac{x}{5} : x > - \frac{25}{8}

1 - 4 \cdot \frac{x}{5} > \frac{1}{2} : x < \frac{5}{8}

Combine the intervals

x > - \frac{25}{8} and x < \frac{5}{8}

Merge Overlapping Intervals

- \frac{25}{8} < x < \frac{5}{8}

1 < 1 + 7 x < 15

- 8 < y < - 4

- 2 + 10 x \leq 13 x + 10 < 24 + 10 x

49 < x < 64

- 3 < x < - 2

What is 7/2 >1-4 x/5 > 1/2 ?
The solution to 7/2 >1-4 x/5 > 1/2 is -25/8 <x< 5/8